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1120221012200 = 2352236715124071
BaseRepresentation
bin10000010011010010011…
…000000010000011101000
310222002111010110121201112
4100103102120002003220
5121323203034342300
62214342240005452
7143635056331613
oct20232230020350
93862433417645
101120221012200
113a20a0614824
12161133900888
13818371b6254
143c30cc8117a
151e215d26e35
hex104d26020e8

1120221012200 has 192 divisors, whose sum is σ = 2776699422720. Its totient is φ = 419395680000.

The previous prime is 1120221012193. The next prime is 1120221012257. The reversal of 1120221012200 is 22101220211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46526165 + ... + 46550235.

It is an arithmetic number, because the mean of its divisors is an integer number (14461976160).

Almost surely, 21120221012200 is an apocalyptic number.

1120221012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120221012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388349711360).

1120221012200 is an abundant number, since it is smaller than the sum of its proper divisors (1656478410520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1120221012200 is a wasteful number, since it uses less digits than its factorization.

1120221012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24328 (or 24319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1120221012200 its reverse (22101220211), we get a palindrome (1142322232411).

The spelling of 1120221012200 in words is "one trillion, one hundred twenty billion, two hundred twenty-one million, twelve thousand, two hundred".